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Finding the Fourth Proportional to 191,881.98, 287,823.51 and 67,193.82

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Solution

The fourth proportional to 191,881.98, 287,823.51 and 67,193.82 is: 100,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,881.98 : 287,823.51 = 67,193.82 : x
  2. Step 2: Convert to fraction form
    191,881.98/287,823.51 = 67,193.82/x
  3. Step 3: Cross multiply
    191,881.98x = 287,823.51 × 67,193.82
  4. Step 4: Simplify right side
    191,881.98x = 19,339,961,122.71
  5. Step 5: Solve for x
    x = 19,339,961,122.71/191,881.98
  6. Step 6: Final answer
    x = 100,790.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.